The equations are
\ Equation (1)
Equation (2)
Multiply the second equation by 3
\Now the equation is
\ Equation (2)
Since the coefficients of the x-terms, +3 and -3, are additive inverses,
\you can eliminate these terms by adding the equations.
\Add the equations to eliminate variable y.
\(write the equations in column form and add)
y = 6
\Now Substitute 6 for y in either equation to find the value of x.
\ (Equation 2)
(Replace y by 6)
(Subtract 6 from each side)
(Apply additive inverse property:
)
(Subtract:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
The solution is (x, y) = (5, 6)
\The solution is (x, y) = (5, 6).